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Finding the Third Proportional to 283,442,456 and 405,323,220

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Solution

The third proportional to 283,442,456 and 405,323,220 is: 579,612,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442,456 : 405,323,220 = 405,323,220 : x
  2. Step 2: Convert to fraction form
    283,442,456/405,323,220 = 405,323,220/x
  3. Step 3: Cross multiply
    283,442,456x = 405,323,220 × 405,323,220
  4. Step 4: Simplify right side
    283,442,456x = 164,286,912,671,168,384
  5. Step 5: Solve for x
    x = 164,286,912,671,168,384/283,442,456
  6. Step 6: Final answer
    x = 579,612,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.